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Finding the Fourth Proportional to 589.95, 812.03 and 414.99

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Solution

The fourth proportional to 589.95, 812.03 and 414.99 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.95 : 812.03 = 414.99 : x
  2. Step 2: Convert to fraction form
    589.95/812.03 = 414.99/x
  3. Step 3: Cross multiply
    589.95x = 812.03 × 414.99
  4. Step 4: Simplify right side
    589.95x = 336,982.25
  5. Step 5: Solve for x
    x = 336,982.25/589.95
  6. Step 6: Final answer
    x = 571.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.